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Finding the Fourth Proportional to 55,269.56, 82,920.47 and 17,828.87

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Solution

The fourth proportional to 55,269.56, 82,920.47 and 17,828.87 is: 26,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,269.56 : 82,920.47 = 17,828.87 : x
  2. Step 2: Convert to fraction form
    55,269.56/82,920.47 = 17,828.87/x
  3. Step 3: Cross multiply
    55,269.56x = 82,920.47 × 17,828.87
  4. Step 4: Simplify right side
    55,269.56x = 1,478,377,776.22
  5. Step 5: Solve for x
    x = 1,478,377,776.22/55,269.56
  6. Step 6: Final answer
    x = 26,748.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.